GCSE Mathematics Practice Tests: Set 6

Transcription

1 GCSE Mathematics Practice Tests: Set 6 Paper 1F (Non-calculator) Time: 1 hour 30 minutes You should have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser. Tracing paper may be used. Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions. Answer the questions in the spaces provided there may be more space than you need. Calculators must not be used. Diagrams are NOT accurately drawn, unless otherwise indicated. You must show all your working out. Information The total mark for this paper is 80 The marks for each question are shown in brackets use this as a guide as to how much time to spend on each question. Advice Read each question carefully before you start to answer it. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end. Practice Tests: Set 6 Regular (1F) Version 1.0 This publication may only be reproduced in accordance with Pearson Education Limited copyright policy Pearson Education Limited.

2 Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1. (a) Write correct to the nearest thousand. (b) Write correct to the nearest hundred (Total 2 marks) 2. The table shows part of a bus timetable from Shotton to Alton. Shotton Crook Prudhoe Hexham Alton A bus leaves Shotton at (a) What time should it arrive at Alton? Another bus leaves Prudhoe at (b) How many minutes should it take to get to Hexham? Serena lives in Crook. She has to be in Hexham by quarter past minutes (c) What is the time of the latest bus she can catch from Crook to arrive in Hexham by quarter past 11? 2... (Total 3 marks)

3 3. Write down the mathematical name of each of these solid shapes. (i)... (ii)... (Total 2 marks) 4. (a) Write these numbers in order of size. Start with the smallest number (b) Write these numbers in order of size. Start with the smallest number (c) Write these numbers in order of size. Start with the smallest number % (2) (Total 4 marks) 3

4 5. (a) Simplify 2x + 2x... (b) Simplify 5y 2y... (c) Simplify 2 4p... (Total 3 marks) 4

5 6. Ed spins a fair 4-sided spinner once. The spinner can land on 3 or on 5 or on 7 or on 9 (a) On the probability scale below mark, with a cross ( ), the probability that the spinner will land on an odd number. (b) On the probability scale below mark, with a cross ( ), the probability that the spinner will land on 3 (Total 2 marks) 5

6 7. Here is a sequence of patterns made from sticks. pattern number 1 pattern number 2 pattern number 3 Work out the number of sticks needed to make pattern number (Total 3 marks) 6

7 8. Here are the ticket prices for entry to a museum. Ticket prices Adult ticket 12 Child ticket 7 Senior ticket 8 Family ticket (2 adult tickets and 2 child tickets) 30 Shamus takes his family to the museum. He gets tickets for 2 adults, 3 children, 1 senior. Shamus pays the least possible amount of money for the tickets. He pays with three 20 notes. How much change should he get?... (Total 4 marks) 7

8 9. Brian is making a fence. The fence will be 4 m long. Brian uses four posts. Each post has a width of 10 cm. Brian wants to have spaces of equal width between the posts. Work out the width of each space. You must show your working. (Total 4 marks) 8

9 10. The diagram shows a flag drawn on a grid of squares. (a) Colin says that 1 4 of the flag is shaded. Colin is right. Explain why (2) (b) What percentage of the flag is not shaded?... % (Total 3 marks) 9

10 11. (a) (i) Write down the coordinates of the point A. (ii) On the grid, mark with a cross ( ) the point with coordinates (5, 2). Label this point B. (b) On the grid, draw the line with equation y = 3. (...,...) (Total 3 marks) (2) 10

11 12. Which of these is the largest fraction? You must show clearly how you got your answer. (Total 3 marks) 11

12 13. Here are the ingredients needed to make 12 shortcakes. Shortcakes Makes 12 shortcakes 50 g of sugar 200 g of butter 200 g of flour 10 ml of milk Liz makes some shortcakes. She uses 25 ml of milk. (a) How many shortcakes does Liz make?... (2) Robert has 500 g of sugar 1000 g of butter 1000 g of flour 500 ml of milk (b) Work out the greatest number of shortcakes Robert can make.... (2) (Total 4 marks) 12

13 14. Ria is going to buy a caravan. The total cost of the caravan is 7000 plus VAT at 20%. Ria pays a deposit of She pays the rest of the total cost in 6 equal monthly payments. Work out the amount of each monthly payment.... (Total 4 marks) 13

14 15. Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave the same bus station every 20 minutes. A bus to Acton and a bus to Barton both leave the bus station at 9 00 am. When will a bus to Acton and a bus to Barton next leave the bus station at the same time?... (Total 3 marks) 14

15 16. The table shows information about the number of grams of protein, of carbohydrate and of fat in 100 grams of regular yoghurt and in 100 grams of low fat yoghurt. Protein Carbohydrate Fat Regular Low Fat (a) Work out the number of grams of protein in 200 g of regular yoghurt. Jamie is going to compare the information in the table. (b) On the grid, draw a suitable diagram or chart he could use.... g (Total 5 marks) (4) 15

16 17. (a) Translate shape A by the vector

17 (b) Describe fully the single transformation that maps shape Q onto shape R (3) (Total 4 marks) 17

18 18. (a) Write down the value of (b) Write down the value of (c) Write these numbers in order of size. Start with the smallest number (2) (Total 4 marks) 18

19 19. Matthew puts 3 red counters and 5 blue counters in a bag. He takes at random a counter from the bag. He writes down the colour of the counter. He puts the counter in the bag again. He then takes at random a second counter from the bag. (a) Complete the probability tree diagram. (2) (b) Work out the probability that Matthew takes two red counters.... (2) (Total 4 marks) 19

20 20. On the grid draw the graph of x + y = 4 for values of x from 2 to 5 (Total 3 marks) 20

21 21. The diagram shows the plan of a floor. The area of the floor is 138 m 2. Work out the value of x. (Total 4 marks) 21

22 22. PQRS is a square. All measurements are in centimetres. Show that the perimeter of the square is 10 cm. (Total 4 marks) 22

23 23. Peter, Tarish and Ben share 54. Tarish gets three times as much money as Peter. Ben gets twice as much money as Tarish. How much money does Ben get?... (Total 3 marks) 24. Use ruler and compasses to construct the bisector of angle ABC. You must show all your construction lines. (Total 2 marks) 23 TOTAL FOR PAPER IS 80 MARKS

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